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Finding the Fourth Proportional to 4,568.34, 6,316.74 and 4,494.24

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Solution

The fourth proportional to 4,568.34, 6,316.74 and 4,494.24 is: 6,214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.34 : 6,316.74 = 4,494.24 : x
  2. Step 2: Convert to fraction form
    4,568.34/6,316.74 = 4,494.24/x
  3. Step 3: Cross multiply
    4,568.34x = 6,316.74 × 4,494.24
  4. Step 4: Simplify right side
    4,568.34x = 28,388,945.58
  5. Step 5: Solve for x
    x = 28,388,945.58/4,568.34
  6. Step 6: Final answer
    x = 6,214.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.